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Finding the Fourth Proportional to 722,308,702.73, 996,847,485.69 and 409,098,634.97

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Solution

The fourth proportional to 722,308,702.73, 996,847,485.69 and 409,098,634.97 is: 564,590,934.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,308,702.73 : 996,847,485.69 = 409,098,634.97 : x
  2. Step 2: Convert to fraction form
    722,308,702.73/996,847,485.69 = 409,098,634.97/x
  3. Step 3: Cross multiply
    722,308,702.73x = 996,847,485.69 × 409,098,634.97
  4. Step 4: Simplify right side
    722,308,702.73x = 407,808,945,669,055,680
  5. Step 5: Solve for x
    x = 407,808,945,669,055,680/722,308,702.73
  6. Step 6: Final answer
    x = 564,590,934.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.